Ch. 3Mini Review
Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically.
y= x + 1y = -x + 3
The solution is(1, 2)
Graph the linear system and tell how many solutions it has. If there is
exactly one solution, estimate the solution and check it algebraically.
X + 2y = -2-3x -6y = 6
There are infinitely many solutions
Solve the Systemx + y = 2
y = 2x + 5
(-1, 3)
Solve the System
y – 2x = -5y – x = -3
(2, -1)
Solve the System
2x – y = -82x + y = 4
(-1, 6)
Solve the System
x + 4y + z = 12
y – 3z = -7z = 3
(1, 2, 3)
Solve the System
x + y + 2z = 5
x + 2y + z = 8
2x + 3y – z = 1
(-7, 6, 3)
Solve the System
2x – y = 95x + 2y =
27
(5, 1)
Solve the System
3x + 5y = 84x + 7z = 18
y + z = 3
(1, 1, 2)
Graph the system of linear inequalities
y ≤ 2x > 3
Graph the system of linear inequalities
x ≥ 0y ≥ 0
2x + y ≤ 4
Earning money You work at a grocery store. Your hourly wage is greater after 6:00 p.m. than it is during the day. One week you work 20 daytime hours and 20 evening hours
and earn $280. Another week you work 30 day time hours and 12 evening
hours and earn a total of $276. What is your daytime rate? What is your
evening rate?
daytime = $6 evening = $8
Telethon During a recent telethon,
people pledged $25 or $50. Twice as many people pledged $25 as $50. Altogether, $18,000 was pledged. How many people
pledged $25?
360
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